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Mobility and conductivity of ionic and bonded defects in hydrogen-bonded chains with nonlinear interactions

Mobility and conductivity of ionic and bonded defects in hydrogen-bonded chains with nonlinear... The proton conductivity and the mobility arising from motions of the ionic and bonded defects, in hydrogen-bonded molecular systems are investigated by means of the quantum mechanical method. Our two component model goes beyond the usual classical harmonic interaction by inclusion of a quartic interaction potential between the nearest-neighbor protons. Among the rich variety of soliton patterns obtained in this model, we focus our attention to compact kink (kinkon) solutions to calculate analytically, the mobility of the kinkon-antikinkon pair and the specific electrical-conductivity of the protons transfer in the hydrogen-bonded systems under an externally applied electrical-field through the dynamic equation of the kinkon-antikinkon pair. For ice, the mobility and the electrical conductivity of the proton transfer obtained are about 5.307×10 -7 m 2 V -1 s -1 and 6.11×10 -4 Ω -1 m -1 , respectively. The results obtained are in qualitative agreement with experimental data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The European Physical Journal B - Condensed Matter and Complex Systems Springer Journals

Mobility and conductivity of ionic and bonded defects in hydrogen-bonded chains with nonlinear interactions

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References (34)

Publisher
Springer Journals
Copyright
Copyright © 2008 by EDP Sciences/Società Italiana di Fisica/Springer-Verlag
Subject
Physics; Condensed Matter; Physics, general; Complexity; Fluids; Solid State Physics and Spectroscopy; Superconductivity, Superfluidity, Quantum Fluids
ISSN
1434-6028
eISSN
1434-6036
DOI
10.1140/epjb/e2008-00110-5
Publisher site
See Article on Publisher Site

Abstract

The proton conductivity and the mobility arising from motions of the ionic and bonded defects, in hydrogen-bonded molecular systems are investigated by means of the quantum mechanical method. Our two component model goes beyond the usual classical harmonic interaction by inclusion of a quartic interaction potential between the nearest-neighbor protons. Among the rich variety of soliton patterns obtained in this model, we focus our attention to compact kink (kinkon) solutions to calculate analytically, the mobility of the kinkon-antikinkon pair and the specific electrical-conductivity of the protons transfer in the hydrogen-bonded systems under an externally applied electrical-field through the dynamic equation of the kinkon-antikinkon pair. For ice, the mobility and the electrical conductivity of the proton transfer obtained are about 5.307×10 -7 m 2 V -1 s -1 and 6.11×10 -4 Ω -1 m -1 , respectively. The results obtained are in qualitative agreement with experimental data.

Journal

The European Physical Journal B - Condensed Matter and Complex Systems – Springer Journals

Published: Mar 1, 2008

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